Six friends each put $250 into a single account that earns 5.5% annually. the interest earned is added to the account at the end of each year. the friends want to use the money in the account to go on a vacation after four years. the friends get together after most have finished college four years later. how much money is in the account?

After 4 years, the six friends will have a total of $1,858.24.

The total amount that is being placed into the account is $1,500. 250 x 6 = 1500

To calculate the interest, you have to multiply it by 1.055 4 times. This is because 5.5% is being added on each year and the interest is compounded.

A simple equation for this would be:  1500(1.055)^4 = 1858.24

The second and fourth answer are correct

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax   (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)